Euler’s Number ($Eu$) is a dimensionless parameter used in fluid mechanics to characterize the ratio of inertial forces to pressure forces in a fluid flow. It helps understand the relative importance of these forces in determining the behavior of the fluid flow. Euler’s Number is defined as the ratio of pressure to the kinetic energy per unit volume of the fluid. Euler’s Number is dimensionless. The formula for Euler’s Number is given by:

Where:

• $Eu$ is Euler’s Number,
• $P$ is the pressure of the fluid,
• $\rho$ is the density of the fluid,
• $v$ is the velocity of the fluid.